CRITICAL NEUMANN PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS IN EXTERIOR DOMAINS

被引：0

作者：

Deng, Shengbing ^{[1
]}

Yang, Jianfu ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Neumann problem; elliptic systems; exterior domains; critical Sobolev exponent; least energy solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient Q(x) is a positive smooth function and lambda, mu >= 0 are parameters, we examine the common effect of the mean curvature of the boundary partial derivative Omega and the shape of the graph of the coefficient Q(x) on the existence of the least energy solutions.

引用

页数：13

共 17 条

[1]

ADIMURTHI, 1993, J FUNCT ANAL, V113, P318

[2]

ADIMURTHI SL, 1991, COMMUN PART DIFF EQ, V16, P1733

[3] On systems of elliptic equations involving subcritical or critical Sobolev exponents [J].

Alves, CO ;

de Morais, DC ;

Souto, MAS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (05) :771-787

[4] POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].

BREZIS, H ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) :437-477

[5] A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].

BREZIS, H ;

LIEB, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490

[6] On the critical Neumann problem with weight in exterior domains [J].

Chabrowski, J ;

Ruf, B .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (01) :143-163

[7] Least energy solutions of a critical Neumann problem with a weight [J].

Chabrowski, J ;

Willem, M .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2002, 15 (04) :421-431

[8]

Chabrowski J., 2004, C MATH, V101, P203

[9]

Chabrowski J., 2001, COLLOQ MATH-WARSAW, V90, P1, DOI [10.4064/cm90-1-2, DOI 10.4064/CM90-1-2]

[10] Exterior nonlinear Neumann problem [J].

Chabrowski, Jan ;

Wang, Zhi-Qiang .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 13 (5-6) :683-697

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